Does the Fourth Amendment prohibit police from conducting a warrantless search of a person who is subject to a parole search condition, where there is no suspicion of criminal wrongdoing and the sole reason for the search is that the person is on parole?

Question:

Did the Fourth Amendment prohibit police from conducting a warrantless search of a person who was subject to a parole search condition, where there was no suspicion of criminal wrongdoing and the sole reason for the search was because the person was on parole?